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Finding the Fourth Proportional to 84,524.46, 116,647.38 and 46,798.68

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Solution

The fourth proportional to 84,524.46, 116,647.38 and 46,798.68 is: 64,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524.46 : 116,647.38 = 46,798.68 : x
  2. Step 2: Convert to fraction form
    84,524.46/116,647.38 = 46,798.68/x
  3. Step 3: Cross multiply
    84,524.46x = 116,647.38 × 46,798.68
  4. Step 4: Simplify right side
    84,524.46x = 5,458,943,409.46
  5. Step 5: Solve for x
    x = 5,458,943,409.46/84,524.46
  6. Step 6: Final answer
    x = 64,584.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.